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3 votes
1 answer
395 views

Symmetric distribution optimization problem of distances between points in $[0,1]$

Let $\mathcal{D}$ be a probability distribution with support $[0,1]$. Let $x, y, z$ the outcomes of three i.i.d. random variables $X, Y, Z$ with distribution $\mathcal{D}$, sorted in increasing order, ...
Penelope Benenati's user avatar
2 votes
1 answer
218 views

Probability distribution optimization problem of distances between points in $[0,1]$

Let $\mathcal{D}$ be a probability distribution with support $[0,1]$. Let $X, Y, Z$ three i.i.d. random variables with distribution $\mathcal{D}$, and $T$ a random variable uniformly distributed in $[...
Penelope Benenati's user avatar